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hw5_solution

# hw5_solution - EME5 Homework 5 Solutions 5 5.1 5.1.1...

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EME5 Homework 5 Solutions October 29, 2010 5 Chapter 6, Problem 6 5.1 Part b 5.1.1 Solution Code #include<stdio.h> #include<math.h> double g2(double x) { return x*x*sqrt(2*x); } int main() { double x = 3.5; double result; result = g2(x); printf("g2(3.5) = %f\n", result); return 0; } 5.1.2 Solution Output g2(3.5) = 32.410454 6 Chapter 6, Problem 7 6.1 Part b 6.1.1 Solution Code #include<stdio.h> #include<math.h> double g6(double x, double y) { 1

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return x*x*sqrt(2*y); } int main() { double x = 3.5; double y = 4.2; double result; result = g6(x, y); printf("g6(3.5, 4.2) = %f\n", result); return 0; } 6.1.2 Solution Output g6(3.5, 4.2) = 35.503873 7 Chapter 6, Problem 8 7.1 Part b 7.1.1 Solution Code #include <stdio.h> #include <math.h> #include <chplot.h> #define NUM_POINTS 100 double f2(double x) { double retval; retval = x*x*sqrt(2*x); return retval; } int main() { double x, x0, xf, xstep, result; int i, n; printf(" x f2(x)\n"); printf(" ---------------\n"); x0 = -1.0; /* initial value for x */ xf = 5.0; /* final value for x */ xstep = 0.25; /* step size for x */ n = (xf - x0)/xstep + 1; /* number of points */ 2
for(i = 0; i < n; i++) { x = x0 + i*xstep; /* calculate value x */ result = f2(x); printf("%8.4f %8.4f\n", x, result); } fplotxy(f2, x0, xf, NUM_POINTS, "function f2(x)", "x", "y"); return 0; } 7.1.2 Solution Output x f2(x) --------------- -1.0000 nan -0.7500 nan -0.5000 nan -0.2500 nan 0.0000 0.0000 0.2500 0.0442 0.5000 0.2500 0.7500 0.6889 1.0000 1.4142 1.2500 2.4705 1.5000 3.8971 1.7500 5.7294 2.0000 8.0000 2.2500 10.7392 2.5000 13.9754 2.7500 17.7356 3.0000 22.0454 3.2500 26.9292 3.5000 32.4105 3.7500 38.5117 4.0000 45.2548 4.2500 52.6608 4.5000 60.7500 4.7500 69.5423 5.0000 79.0569 3

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7.1.3 Solution Plot 8 Chapter 6, Problem 9 8.1 Part b 8.1.1 Solution Code #include <stdio.h> #include <math.h> #include <chplot.h> #define NUM_X_POINTS 100 #define NUM_Y_POINTS 100 double f6(double x, double y) { double retval; retval = x*x*sqrt(2*y); return retval; } int main() { double x, x0, xf, xstep, y, y0, yf, ystep, result; int i, j, nx, ny; printf(" x y f6(x,y)\n"); 4
printf(" -----------------------------\n"); x0 = -1.0; xf = 5.0; xstep = 1.0; nx = (xf - x0)/xstep + 1; /* num of points for x */ y0 = 2.0; yf = 4.0; ystep = 0.5; ny = (yf - y0)/ystep + 1; /* num of points for y */ for(i = 0; i < nx; i++) { x = x0 + i*xstep; /* calculate value for x */ for(j = 0; j <ny; j++) { y = y0 + j*ystep; /* calculate value for y */

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hw5_solution - EME5 Homework 5 Solutions 5 5.1 5.1.1...

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